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Finding the Fourth Proportional to 280.82, 421.14 and 85.79

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Solution

The fourth proportional to 280.82, 421.14 and 85.79 is: 128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.82 : 421.14 = 85.79 : x
  2. Step 2: Convert to fraction form
    280.82/421.14 = 85.79/x
  3. Step 3: Cross multiply
    280.82x = 421.14 × 85.79
  4. Step 4: Simplify right side
    280.82x = 36,129.60
  5. Step 5: Solve for x
    x = 36,129.60/280.82
  6. Step 6: Final answer
    x = 128.66

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